Experimental solver

CFR+, Nash equilibrium, and the numbers you see

  1. Build the situation.Your action path sets the pot, effective stacks, filtered ranges, draw choices, and player to act.
  2. Group similar hands.To keep the game tree practical, hands with similar strength are placed into buckets such as B24. Each row represents a class of hands, not one exact hand.
  3. Run CFR+ iterations.Counterfactual Regret Minimization repeatedly tests every available action, records the value lost by not choosing a better action, and updates both players' strategies. CFR+ removes negative regret to converge faster.
  4. Average the strategy.The percentages are action frequencies in the same situation. For example, 70% raise and 30% call is a deliberate mixed strategy—not a confidence score.
What does Nash mean?

A Nash equilibrium is a pair of strategies where neither player can gain EV by changing strategy alone. This solver reports best-response exploitability inside its abstract post-draw betting tree, and lower is better.

This is an abstracted experimental solve, not an exact full-card game solution. Deep, rare action lines and hands grouped inside one bucket can be less precise.

Read the full methodology and limitations

2-7 Single Draw (No Limit) heads-up solver.

Set the effective stack, choose the pre-draw betting line and draw declarations in playing order, then explore the derived post-draw strategy.

Loading precomputed pre-draw strategy…

Pre-draw actions load once for this stack and can then be explored instantly. Draw and post-draw strategies are calculated when you reach them.

Pre-drawDrawPost-drawStrategy

An experimental betting model with a limited game tree.

01

Action-conditioned ranges

Starting hands are weighted by the betting actions taken and the selected draw declarations. Solver and trainer use the same pre-draw bucket strategy.

02

CFR+ strategy

The engine trains sampled abstract hand matchups and returns average action frequencies. Convergence must be measured; these results are not certified equilibrium strategies.

03

Best-response check

Reported exploitability measures how much exact best responses can gain against the current abstract post-draw strategy profile.

Choose your next 2-7 Single Draw question.

Move between rules, ranges, equity, and solver strategy without restarting your study.

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